OFFSET
1,1
COMMENTS
EXAMPLE
First 3 rows:
2 .... 1
2 .... 3 .... 1
10 ... 17 ... 10 ... 2
First 3 polynomials: 2 + x, 2 + 3*x + x^2, 10 + 17*x + 10*x^2 + 2*x^3.
MATHEMATICA
t[n_] := t[n] = Table[(x + 1)/(x + 2), {k, 0, n}];
b = Table[Factor[Convergents[t[n]]], {n, 0, 10}];
p[x_, n_] := p[x, n] = Last[Expand[Denominator[b]]][[n]];
u = Table[p[x, n], {n, 1, 10}]
v = CoefficientList[u, x]; Flatten[v]
CROSSREFS
KEYWORD
nonn,tabf
AUTHOR
Clark Kimberling, Nov 13 2013
STATUS
approved